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Memristors exhibit very sharp off-to-on transitions with a large on/off resistance ratio. These remarkable characteristics coupled with their long retention time and very simple device geometry make them nearly ideal for three-terminal devices where the gate voltage can change their on/off voltages and/or simply turn them off, eliminating the need for bipolar operations. In this paper, we propose a cation migration-based computational model to explain the quantized current conduction and the gate field-effect in Cu2-αS memristors. Having tree-shaped conductive filaments inside a memristor is the reason for the quantized current conduction effect. Applying a gate voltage causes a deformation of the conductive filaments and thus controls the SET and the RESET process of the device.

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